GCD of 800, 383, 334, 149 Calculator

Given Input numbers are 800, 383, 334, 149

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 800, 383, 334, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 383, 334, 149 is 1.

Therefore, GCD of numbers 800, 383, 334, 149 is 1

Given Input Data is 800, 383, 334, 149

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 383 is 383

Prime Factorization of 334 is 2 x 167

Prime Factorization of 149 is 149

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(800, 383) = 306400

GCD(800, 383) = ( 800 x 383 ) / 306400

GCD(800, 383) = 306400 / 306400

GCD(800, 383) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 800, 383, 334, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 619, 900, 212
• GCD of 497, 561, 508, 536
• GCD of 313, 789, 298, 235
• GCD of 835, 286, 758, 150
• GCD of 343, 570, 192, 360

1. What is the GCD of 800, 383, 334, 149?

GCD of 800, 383, 334, 149 is 1

2. Where do I get the detailed procedure to find GCD of 800, 383, 334, 149?

You can find a detailed procedure to find GCD of 800, 383, 334, 149 on our page.

3. How to find GCD of 800, 383, 334, 149 on a calculator?

You can find the GCD of 800, 383, 334, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.